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Worksheet: Boyle's Law

In this worksheet, we will practice using the formula PV = constant (Boyle's law) to calculate the pressure or volume of a gas that is allowed to expand or contract at a constant temperature.

Q1:

A bike tire is pumped up using a foot pump. The pressure of the gas within the tire increases, but the volume remains the same. What happens to the temperature of the gas?

AIt remains the same.

BIt decreases.

CIt increases.

Q2:

A sphere of gas expands from a radius of
0.5 m to a radius of
2 m. The temperature remains
constant throughout. How many times smaller is the pressure of the gas in the sphere after its expansion?

Q3:

At sea level on Earth, the atmospheric air pressure is about 101 kPa. At the top of Mount Everest, the air pressure is about 34 kPa.
A balloon with a fixed amount of helium gas is taken from sea level up to the top of Mount Everest.
The temperature of the air is the same at both locations. What happens to the size of the balloon?

AIt remains the same.

BIt decreases.

CIt increases.

Q4:

A gas with a volume of 2 m3 is at a pressure of 500 Pa. The gas is compressed at a constant temperature to
a volume of 0.5 m3. What is the pressure of the gas after it is compressed?

Q5:

A gas in a sealed container is kept at a constant volume. The temperature of the gas is increased. What happens to the pressure of the gas?

AIt stays the same.

BIt decreases.

CIt increases.

Q6:

A gas with a volume of 3 m3 is at a pressure of 500 Pa.
The gas is compressed at a constant temperature until it is at a pressure of
1500 Pa. What is the volume of the gas after it is compressed?

Q7:

For a gas at a constant temperature, if the volume is , then the pressure .

Adecreased, decreases

Bincreased, increases

Cincreased, stays the same

Dincreased, decreases

Edecreased, stays the same

Q8:

A 4 m3 volume of gas is at a pressure
of 1000 Pa. The gas is allowed to expand at a constant temperature until its pressure is
half of the value before expansion began. How many times greater is the volume of the gas
after its expansion?